Prime p₀= 2623235677493008607 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 10 2 64 2 10 2 70 2 (?)
a_n: 0 2 72 74 84 86 150 152 162 164 234 236
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 236
Found by: JayPi
db: batch=82, k=12, 2 70 2 10 2 64

STPT(10)	2623233443451934319	0 2 180 182 210 212 240 242 420 422	-2234041074288
STPT(10)	2623233475146147299	0 2 42 44 60 62 78 80 120 122	-2202346861308
SPT(16)	2623233870942416803	0 40 58 64 84 88 178 198 220 240 330 334 354 360 378 418	-1806550591804
TPT(14)	2623234534660129631	0 2 48 50 126 128 138 140 150 152 180 182 216 218	-1142832878976
SPT(16)	2623234540919669363	0 18 24 38 84 86 114 120 164 170 198 200 246 260 266 284	-1136573339244
TPT(14)	2623234801399491611	0 2 78 80 90 92 96 98 126 128 168 170 180 182	-876093516996
SPT(16)	2623235786556181639	0 40 82 90 120 154 168 204 208 244 258 292 322 330 372 412	109063173032
STPT(10)	2623236975460569827	0 2 60 62 72 74 84 86 144 146	1297967561220
STPT(10)	2623237276297088909	0 2 42 44 150 152 258 260 300 302	1598804080302
SPT(16)	2623238016248056387	0 52 60 76 82 90 102 112 144 154 166 174 180 196 204 256	2338755047780
SPT(16)	2623238105509765531	0 30 46 72 82 132 160 208 300 348 376 426 436 462 478 508	2428016756924